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Finding the Fourth Proportional to 12,881, 19,321.50 and 3,647

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Solution

The fourth proportional to 12,881, 19,321.50 and 3,647 is: 5,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881 : 19,321.50 = 3,647 : x
  2. Step 2: Convert to fraction form
    12,881/19,321.50 = 3,647/x
  3. Step 3: Cross multiply
    12,881x = 19,321.50 × 3,647
  4. Step 4: Simplify right side
    12,881x = 70,465,510.50
  5. Step 5: Solve for x
    x = 70,465,510.50/12,881
  6. Step 6: Final answer
    x = 5,470.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.